Book/Report

FZJ-2017-04740

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Electrostatic oscillations in an inhomogeneous plasma

Hirsch, R. H. (Corresponding author)FZJ*

1971
Kernforschungsanlage Jülich, Verlag Jülich

Please use a persistent id in citations: http://hdl.handle.net/2128/15071

Report No.: Juel-0781-PP

Abstract: A numerical solution of the non-linear Vlasov equation in one dimension is carried out by the Fourier-Fourier transformation method for the case of an inhomogeneous plasma. The initial electron distribution function consists of a background Maxwellian plasma plus two Maxwellian bumps at $\pm$ $v_{b}$ which appear only in the central region of the plasma. The magnitude of the bumps are linear functions of x within this central region, having a maximum strength D at the center. The ions are assumed immobile and are chosen so that at t = 0, the plasma is neutral. Perfectly reflecting walls are used as boundary conditions at x = 0 and L. The linear equation is also solved numerically and compared with the linear solution obtained by the method of Landau poles. The macroscopic variables of density N (x, t), average velocity $\overline{V}$ (x, t) and pressure P (x, t) are recovered at specified time intervals. The microscopic movement of particles is also followed and plotted as the difference between the initial and t = $t_{o}$ distribution functions.

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Contributing Institute(s):

1. Publikationen vor 2000 (PRE-2000)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

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